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534813000 = 23353473793
BaseRepresentation
bin11111111000001…
…001100101001000
31101021100022111220
4133320021211020
52043403004000
6125022522040
716152556401
oct3770114510
91337308456
10534813000
11254984a17
1212b136320
1386a539c7
14510589a8
1531e431a0
hex1fe09948

534813000 has 128 divisors (see below), whose sum is σ = 1704568320. Its totient is φ = 139545600.

The previous prime is 534812989. The next prime is 534813011. The reversal of 534813000 is 318435.

It is an interprime number because it is at equal distance from previous prime (534812989) and next prime (534813011).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139104 + ... + 142896.

It is an arithmetic number, because the mean of its divisors is an integer number (13316940).

Almost surely, 2534813000 is an apocalyptic number.

534813000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534813000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852284160).

534813000 is an abundant number, since it is smaller than the sum of its proper divisors (1169755320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

534813000 is a wasteful number, since it uses less digits than its factorization.

534813000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 534813000 is about 23126.0243016391. The cubic root of 534813000 is about 811.7095428742.

The spelling of 534813000 in words is "five hundred thirty-four million, eight hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 47 50 60 75 94 100 120 125 141 150 188 200 235 250 282 300 375 376 470 500 564 600 705 750 940 1000 1128 1175 1410 1500 1880 2350 2820 3000 3525 3793 4700 5640 5875 7050 7586 9400 11379 11750 14100 15172 17625 18965 22758 23500 28200 30344 35250 37930 45516 47000 56895 70500 75860 91032 94825 113790 141000 151720 178271 189650 227580 284475 356542 379300 455160 474125 534813 568950 713084 758600 891355 948250 1069626 1137900 1422375 1426168 1782710 1896500 2139252 2275800 2674065 2844750 3565420 3793000 4278504 4456775 5348130 5689500 7130840 8913550 10696260 11379000 13370325 17827100 21392520 22283875 26740650 35654200 44567750 53481300 66851625 89135500 106962600 133703250 178271000 267406500 534813000